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Construction and Evaluation of Performance Measures for Bayesian Chain Sampling Plan (BChSP-1)

Author

Listed:
  • K. K., Suresh
  • K., Pradeepa Veerakumari

Abstract

Bayesian Acceptance Sampling Approach is associated with utilization of prior process history for the selection of Distributions (viz., Gamma Poisson, Beta Binomial) to describe the random fluctuations involved in Acceptance Sampling. Calvin (1984) provides procedures and tables for implementing Bayesian Sampling Plan. Dodge (1955) has proposed Chain Sampling Plan in which Chain Sampling Plan allows significant reduction in sample size and the condition for a continuing succession of lots from a stable and trusted supplier. Usha (1991) has proposed procedure for Bayesian Chain Sampling Plan. Latha (2002) has further studied Bayesian Chain Sampling Plan – 1 involving designing of Bayesian Chain Sampling Plan indexed through AQL, LQL, OAOQL, and MAAPD. The main thrust of this paper is to account for the possibility of dependence among the items of a sample. This paper mainly relates with the procedure for designing Bayesian Chain Sampling Plan indexed with relative slopes at acceptable and limiting quality levels. Tables and Procedures are also provided for the selection of the parameters for the plan with specified h1, h0 and h2 (Relative Slopes). Numerical Illustration are also provided for the shop floor applications of these procedures.

Suggested Citation

  • K. K., Suresh & K., Pradeepa Veerakumari, 2007. "Construction and Evaluation of Performance Measures for Bayesian Chain Sampling Plan (BChSP-1)," MPRA Paper 10105, University Library of Munich, Germany, revised 2007.
  • Handle: RePEc:pra:mprapa:10105
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    File URL: https://mpra.ub.uni-muenchen.de/10105/1/MPRA_paper_10105.pdf
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    More about this item

    Keywords

    BAYESIAN ACCEPTANCE SAMPLING; CHAIN SAMPLING PLAN; BETA-BINOMIAL DISTRIBUTION; GAMMA-POISSON DISTRIBUTION;

    JEL classification:

    • C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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